For the non-dissipative scenario, the homologous restriction gives
\(Y_{TF}=0\) , with geodesic fluid [1]}. In
addition, in this case a specify \(\mathrm {FRW}\)  model fulfilling the
condition \(Y_{TF}=0\)  and evolving homozygously was presented. Now we
examine the case in which the spherical structure evolves in the
\(\mathbb {Q}_{\mathbf {H}}\)  regime. Thus substitutin \(q=0\)  in
Eq.(REF ) gives \(\sigma =0\) . This constraint provides
\(C=rB.\) 
